Explain how to use grouping symbols to organize information appropriately
1 answer:
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Answer:
(1) Option A is correct , The measure of angle A = 26°
(2) Option D is correct, The measure of angle B =70°
Step-by-step explanation:
(1)
In a right angle triangle figure-1 ,
* Hypotenuse(H) is always opposite the right angle and it is always the longest side of the triangle.
* Adjacent side (B) is the non-hypotenuse side that is next to a given angle A.
* Opposite side(P) is across from a given angle A.
To find the Angle A we use the Cosine ratio:
Cosine ratio states that the ratio of the adjacent side of a right triangle to the hypotenuse.
By definition of cosine ratio we have;
....[1]
In the figure - 1 we have B = 18 in and H = 20 in
substitute these in [1] to find angle A
or
⇒
therefore, the measure of angle A is,
(2)P
In figure -2
Find the measure of angle B.
First find the side BC, using Pythagoras theorem;
Pythagoras theorem states that in the right angle triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Apply Pythagoras theorem in rt. angle ABC;
Substitute the values of AB = 5.1 cm and AC =4.8 cm to solve for BC
Simplify:
or
Now, find the angle B, using tangent ratio;
Tangent ratio states that the ratio of the Opposite side of a right triangle to the adjacent side.
Therefore, the measure of angle B is; .
Answer:
e. 0.08
Step-by-step explanation:
In the question above, a certain quantity of goods was supplied while a specific quantity of goods was sold per week. In a given week, if the number of proportion sold is X, therefore:
f(x) = {Γ(4+2)/Γ(4)Γ(2) x^3 (1-x), 0≤x≤1 ; 0, elsewhere
and
P(X greater than 0.9) = = 20*{(y^4/4)[1,0.9] - (y^5/5)[1,0.9]} = 20*{(0.25 - 0.164) - (0.20 - 0.118)} = 20*{0.086 - 0.0819} = 20*0.0041 = 0.082
Therefore the probability of the proportion sold is approximately 0.082
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
a) From the graph we can see the graph passes through the point (0, 100) and (20, 400). Hence we can use the following formula to find the equation:
b) An example of real life linear function is the energy consumed per day in kWh. Let us assume 5 kWh is consumed each day by the person. Since the independent variable is the days, it would be on the x axis, while the dependent variable (energy consumed) would be on the y axis.